2001 Ford ZX2 Headlights

Hi, Recently, my 2001 ford ZX2, 70,000 miles, 100% stock, has had a problem with the headlights - It will flicker and my entire set of headlights, dash lights, and even A/C area lights will go out, but if you jiggle the healight/washer stick a little, everything comes back on - However, it only does this when I go from brights to my normal lights, but not from normal to high beams. When it does it, there is usually no warning, so we could go around a corner and crash, or get screwed by a cop. So as you can imagine, I need to fix this! Wiring is NOT my forte, so would anyone have any ideas?

Much Appreciated! Thanks!